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Volume Length • Length is measured in mm, cm, m or km. 1cm Area • Area is measured in mm2 , cm2, m2 or km2 3cm 8cm 1cm 1cm • Area = length x width • Area = 8 x 3 = 24 cm2 1cm2 Volume • Volume is measured in mm3, cm3, m3 or km3 4cm 1cm 4cm 4cm • Volume = length x width x height • Volume = 4 x 4 x 4 = 64cm3 1cm 1cm 1cm3 Find the volume of these cuboids 10cm 6cm 4cm 3cm 2cm 2cm V=lxwxh V = 6 x 3 x 2 = 36cm3 V=lxwxh V = 10 x 4 x 2 = 80cm3 Find the volume of these shapes 8cm 4cm 5cm 5cm 5cm V=lxwxh V = 5 x 4 x 5 = 100cm3 2cm V=lxwxh V = 8 x 2 x 5 = 80cm3 What could be the measurements of this cuboid? • The length, width and height of a cuboid are all whole numbers of cm. Its volume is 48cm3. How many different sets of dimensions can you find? 48 x 1 x 1 24 x 2 x 1 16 x 3 x 1 12 x 2 x 2 12 x 4 x 1 8x6x1 8x3x2 6x4x2 4x4x3 What could be the measurements of this cuboid? • The length, width and height of a cuboid are all whole numbers of cm. Its volume is 72cm3. How many different sets of dimensions can you find? 12 x 3 x 2 9x8x1 9x4x2 8x3x3 Find the missing lengths ?cm ?cm Volume =36cm3 2cm Volume =70cm3 5cm 2cm V=lxwxh 36= l x 2 x 2 36 = l x 4 l =9cm 2cm V=lxwxh 70 = l x 2 x 5 70 = l x 10 l = 7cm Find the missing lengths Volume =72cm3 ?cm ?cm 5cm Volume =140cm3 9cm 4cm V=lxwxh 140= l x 5 x 4 140 = l x 20 l =7cm 2cm V=lxwxh 72 = l x 2 x 9 72 = l x 18 l = 4cm Find the edge • A cube has a volume of 64cm3. • What is the length of one edge? 4cm (4 x 4 x 4=64) Find the edge • A cube has a volume of 125cm3 • What is the length of one edge? 5cm (5 x 5x 5=125) Find the volume • From the areas of the faces, work out the length, width & height. • Then calculate the volume. 10 x 3 x 2 = 60cm3 30cm2 20cm2 6cm2 Find the volume • From the areas of the faces, work out the length, width & height. • Then calculate the volume. 40cm2 32cm2 8 x 5 x 4 = 160cm3 20cm2 Finding the volume of compound shapes. Split up the shape first. 4cm 4cm 4cm V=lxwxh v= 10 x 4 x 4=160cm3 4cm 9cm 10cm V=lxwxh v= 10 x 5 x 6=300cm3 5cm 6cm 10cm 6cm 10cm Total volume = 160 + 300 = 460cm3 Find the volume of this shape. V=lxwxh v= 8 x 7 x 8=448cm3 8cm 12cm 7cm 7cm V=lxwxh v= 4 x 3 x 8=96cm3 4cm 3cm 8cm 8cm 8cm 3cm 8cm Total volume = 448 + 96 = 544cm3 Find the volume of this shape. 2cm 4cm V=lxwxh v= 4 x 2 x 6=48cm3 3cm 2cm 3cm 8cm 6cm 4cm V=lxwxh v= 3 x 2 x 8=48cm3 V=lxwxh 3cm 3 v= 8 x 2 x 3=48cm 2cm 8cm 3cm 6cm 2cm 15cm Total volume = 48 + 48 +48 = 144cm3 8cm Finding the volume of irregular shapes. • • • • • Part fill a measuring cylinder. Measure the water. Lower object into the water Measure new level. Volume = 70 – 50 = 20cm3 70cm3 50cm3 Find the volume of this irregular shape. 83cm3 50cm3 Volume = 83 – 50 = 33cm3 Find the volume of this irregular shape. The container below is ⅓ filled with water. 6cm An object is lowered into the water and the container is now ½ full. What is the volume of the object? 5cm 10cm Volume = 150 – 100 = 50cm3